Least Common Multiple of 306415 and 306422

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 306415 and 306422 by Prime method
• Least Common Multiple of 306415 and 306422 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306415 and 306422. First we will calculate the prime factors of 306415 and 306422.

Prime Factorization of 306415

Prime factors of 306415 are 5,61283. Prime factorization of 306415 in exponential form is:

306415 = 5¹×61283¹

Prime Factorization of 306422

Prime factors of 306422 are 2, 349,439. Prime factorization of 306422 in exponential form is:

306422 = 2¹×349¹×439¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306415 and 306422.

LCM(306415,306422) = 2¹×5¹×349¹×439¹×61283¹
LCM(306415,306422) = 93892297130

Factors of 306415

List of positive integer factors of 306415 that divides 306415 without a remainder.

1, 5, 61283, 306415

Factors of 306422

List of positive integer factors of 306422 that divides 306422 without a remainder.

1, 2, 349, 439, 698, 878, 153211, 306422

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306415 and 306422, than apply into the LCM equation.

GCF(306415,306422) = 1
LCM(306415,306422) = ( 306415 × 306422) / 1
LCM(306415,306422) = 93892297130 / 1
LCM(306415,306422) = 93892297130

(i) The LCM of 306422 and 306415 is associative

LCM of 306415 and 306422 = LCM of 306422 and 306415

1. What is the LCM of 306415 and 306422?

Answer: LCM of 306415 and 306422 is 93892297130.

2. What are the Factors of 306415?

Answer: Factors of 306415 are 1, 5, 61283, 306415. There are 4 integers that are factors of 306415. The greatest factor of 306415 is 306415.

3. What are the Factors of 306422?

Answer: Factors of 306422 are 1, 2, 349, 439, 698, 878, 153211, 306422. There are 8 integers that are factors of 306422. The greatest factor of 306422 is 306422.

4. How to Find the LCM of 306415 and 306422?

Answer:

Least Common Multiple of 306415 and 306422 = 93892297130

Step 1: Find the prime factorization of 306415

306415 = 5 x 61283

Step 2: Find the prime factorization of 306422

306422 = 2 x 349 x 439

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 93892297130 = 2 x 5 x 349 x 439 x 61283

Step 4: Therefore, the least common multiple of 306415 and 306422 is 93892297130.